In the old days when there were no calculators, surveying calculations like this would require logarithms to do the multiplications.

There was a book about an inch and a half thick called "7-digit logarithm tables". We would look up sine(61° 2' 13" ) from the table, look up the logarithm of that from another table, then look up the logarithms of 426 and 319.153. These logarithms would have been added together and the anti-logarithm would be the answer: 59477.5.. to 7 digits.

This is the closest relation to logarithm I can think of.

If you want, I can simulate the process.

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